Set of miscellaneous problems. - Chapter 11 : Conceptual Questions
8. Give two everyday examples of objects that are not in static equilibrium.
9. Give two everyday examples of objects that are in static equilibrium.
Conceptual Exercise
4. Suppose the person in example 11-3 climbs higher on the ladder (please see the attachment for the fig). As a result, is the ladder more likel...
Fluid Mechanics: Ideal and viscous flow of fluids - 1/ water is flowing smoothly in a closed pipe system. At one point the speed of the water is 3.0m/s, while at another point 2m higher the speed is 5.0m/s. (a) if the pressure is 50kPa at the lower point, what is the pressure at the higher point? (b) What would the pressure at the upper point be if the water were to stop flowing and the pressure a...
Fluid Mechanics - 6) A sewer 24 in. in diameter is made of concrete pipe for which the value of n may be taken as .014. The rate of slope is .0007, and the depth of the liquid is 18.0 in. what is the rate of discharge. 6.3 cfs., 5.1 cfs, 5.5 cfs, 4.2 cfs
7) The Reynolds number for liquid flowing in a pipe is 28,600. The friction factor f in the chezy-darcy formula is? .0243, .02...
Computing areas and volumes using multiple integrals. - (1) Find the volume of the solid bounded by the paraboloid x2 + y2 = 2z, the plane
z = 0 and the cylinder x2 + y2 = 9.
(2) Find the volume of the region in the first octant bounded by x + 2y + 3z = 6.
(3) Find the area of the solid that is bounded by the cylinders x2+z2 = r2 and y2+z2 =
r2.
(4) Find the volume enclosed by the surfaces z ...
Polynomials : Matrices, Reflection Matrices and Linear Transformation - From the cubics P3 to the fourth degree polynomials P4, what matrix represents multiplication by 2 + 3t? The columns of the 5 by 4 matrix A come from applying the transformation to each basis vector x1 = 1, x2 = t, x3 = t2, x4 = t3.
Verify directly from c2 + s2 = 1 that the reflection matrices satisfy H2 = I.
c = cosine
...
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